GCC-PHAT cross correlation

1. What is GCC Phat?
2. What is the formula for cross-correlation?
3. What is generalized cross-correlation?
4. What is cross channel correlation?

What is GCC Phat?

The cross-correlation is computed using the generalized cross-correlation phase transform (GCC-PHAT) algorithm. Time delays are multiples of the sample interval corresponding to the default sampling frequency of one hertz. example. tau = gccphat( sig , refsig , fs ) , specifies the sampling frequency of the signal.

What is the formula for cross-correlation?

Cross-correlation between X_i and X_j is defined by the ratio of covariance to root-mean variance, ρ i , j = γ i , j σ i 2 σ j 2 . γ ^ i , j = 1 N ∑ t = 1 N [ ( X i t − X ¯ i ) ( X j t − X ¯ j ) ] .

What is generalized cross-correlation?

The generalized cross correlation (GCC) is regarded as the most popular approach for estimating the time difference of arrival (TDOA) between the signals received at two sensors. Time delay estimates are obtained by maximizing the GCC output, where the direct-path delay is usually observed as a prominent peak.

What is cross channel correlation?

In signal processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other.